6677868113280 has 768 divisors, whose sum is σ = 29628502142400. Its totient is φ = 1408954466304.

The previous prime is 6677868113233. The next prime is 6677868113303. The reversal of 6677868113280 is 823118687766.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10704024 + ... + 11310696.

Almost surely, 2^{6677868113280} is an apocalyptic number.

6677868113280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6677868113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14814251071200).

6677868113280 is an abundant number, since it is smaller than the sum of its proper divisors (22950634029120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6677868113280 is a wasteful number, since it uses less digits than its factorization.

6677868113280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606728 (or 606703 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 6677868113280 in words is "six trillion, six hundred seventy-seven billion, eight hundred sixty-eight million, one hundred thirteen thousand, two hundred eighty".